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Finding the Fourth Proportional to 17,510.26, 26,270.25 and 9,724.54

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Solution

The fourth proportional to 17,510.26, 26,270.25 and 9,724.54 is: 14,589.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,510.26 : 26,270.25 = 9,724.54 : x
  2. Step 2: Convert to fraction form
    17,510.26/26,270.25 = 9,724.54/x
  3. Step 3: Cross multiply
    17,510.26x = 26,270.25 × 9,724.54
  4. Step 4: Simplify right side
    17,510.26x = 255,466,096.94
  5. Step 5: Solve for x
    x = 255,466,096.94/17,510.26
  6. Step 6: Final answer
    x = 14,589.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.